Combinatorial aspects of Schubert calculus (phần 1)
Người báo cáo: Đặng Tuấn Hiệp (ĐH Đà Lạt)

Thời gian: 2h-3h30 chiều thứ 3, 28/12/2021

Địa điểm: Phòng seminar 611, nhà A6

Online: https://meet.google.com/pbe-gxiz-wpu

Tóm tắt: Schubert calculus is a branch of algebraic geometry introduced in the nineteenth century by Hermann Schubert, in order to solve various counting problems of projective geometry (part of enumerative geometry). It was a precursor of several more modern theories, for example quantum cohomology and quantum K-theory. In this talk, we emphasize the combinatorial aspects of this exciting field. Starting with the combinatorial results of Schur polynomials, we present recent results related to (symmetric) stable Grothendieck polynomials. In the final part, we are going to discuss conjectures related to dual stable Grothendieck polynomials.